Multiple choice

If a number gives 2 as the remainder when it is divided by 5, find the remainder when the square of the number is divided by 5.

  1. 1

  2. 2

  3. 3

  4. 4
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D Correct answer
Explanation

A number giving remainder 2 when divided by 5 can be written as n = 5k + 2. Its square is n² = 25k² + 20k + 4 = 5(5k² + 4k) + 4. This gives remainder 4 when divided by 5. Verification: 7² = 49, 49 ÷ 5 = 9 remainder 4.

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